20269616640 has 960 divisors, whose sum is σ = 84540589056. Its totient is φ = 4048551936.

The previous prime is 20269616639. The next prime is 20269616659. The reversal of 20269616640 is 4661696202.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20269616592 and 20269616601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208965072 + ... + 208965168.

Almost surely, 2^20269616640 is an apocalyptic number.

20269616640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20269616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42270294528).

20269616640 is an abundant number, since it is smaller than the sum of its proper divisors (64270972416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20269616640 is a wasteful number, since it uses less digits than its factorization.

20269616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 20269616640 in words is "twenty billion, two hundred sixty-nine million, six hundred sixteen thousand, six hundred forty".